131328000
131,328,000 is an even composite number composed of four prime numbers multiplied together.
131328000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131328000:
211 × 33 × 53 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19)See below for interesting mathematical facts about the number 131328000 from the Numbermatics database.
Names of 131328000
- Cardinal: 131328000 can be written as One hundred thirty-one million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.31328 × 108
Factors of 131328000
Divisors of 131328000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 125 128 135 144 150 152 160 171 180 190 192 200 216 225 228 240 250 256 270 285 288 300 304 320 342 360 375 380 384 400 432 450 456 475 480 500 512 513 540 570 576 600 608 640 675 684 720 750 760 768 800 855 864 900 912 950 960 1000 1024 1026 1080 1125 1140 1152 1200 1216 1280 1350 1368 1425 1440 1500 1520 1536 1600 1710 1728 1800 1824 1900 1920 2000 2048 2052 2160 2250 2280 2304 2375 2400 2432 2560 2565 2700 2736 2850 2880 3000 3040 3072 3200 3375 3420 3456 3600 3648 3800 3840 4000 4104 4275 4320 4500 4560 4608 4750 4800 4864 5120 5130 5400 5472 5700 5760 6000 6080 6144 6400 6750 6840 6912 7125 7200 7296 7600 7680 8000 8208 8550 8640 9000 9120 9216 9500 9600 9728 10240 10260 10800 10944 11400 11520 12000 12160 12800 12825 13500 13680 13824 14250 14400 14592 15200 15360 16000 16416 17100 17280 18000 18240 18432 19000 19200 19456 20520 21375 21600 21888 22800 23040 24000 24320 25600 25650 27000 27360 27648 28500 28800 29184 30400 30720 32000 32832 34200 34560 36000 36480 38000 38400 38912 41040 42750 43200 43776 45600 46080 48000 48640 51200 51300 54000 54720 55296 57000 57600 58368 60800 64000 64125 65664 68400 69120 72000 72960 76000 76800 82080 85500 86400 87552 91200 92160 96000 97280 102600 108000 109440 114000 115200 116736 121600 128000 128250 131328 136800 138240 144000 145920 152000 153600 164160 171000 172800 175104 182400 192000 194560 205200 216000 218880 228000 230400 243200 256000 256500 262656 273600 276480 288000 291840 304000 328320 342000 345600 350208 364800 384000 410400 432000 437760 456000 460800 486400 513000 525312 547200 576000 583680 608000 656640 684000 691200 729600 768000 820800 864000 875520 912000 972800 1026000 1050624 1094400 1152000 1216000 1313280 1368000 1382400 1459200 1641600 1728000 1751040 1824000 2052000 2188800 2304000 2432000 2626560 2736000 2918400 3283200 3456000 3648000 4104000 4377600 4864000 5253120 5472000 6566400 6912000 7296000 8208000 8755200 10944000 13132800 14592000 16416000 21888000 26265600 32832000 43776000 65664000 131328000
- Sum of all divisors σ(n): 511056000
- Sum of proper divisors (its aliquot sum) s(n): 379728000
- 131328000 is an abundant number, because the sum of its proper divisors (379728000) is greater than itself. Its abundance is 248400000
Bases of 131328000
- Binary: 1111101001111101000000000002
- Hexadecimal: 0x7D3E800
- Base-36: 266TC0
Squares and roots of 131328000
- 131328000 squared (1313280002) is 17247043584000000
- 131328000 cubed (1313280003) is 2265019739799552000000000
-
The
square root of 131328000 is 11459.8429308607 -
The
cube root of 131328000 is 508.2988301105
Scales and comparisons
How big is 131328000?- 131,328,000 seconds is equal to 4 years, 9 weeks, 1 day.
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To count from 1 to 131,328,000 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 131328000 cubic inches would be around 42.4 feet tall.
Recreational maths with 131328000
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